This is a scale drawing of an actual park. What percent of the park is the playground?

Question

This is a scale drawing of an actual park. What percent of the park is the playground?

Start by finding the area of the entire park on the map.
A scale map of a park with dimensions 20 in by 20 in. Within the park are a picnic area and a playground with dimensions 16 in by 5 in.
The area of the entire park is
400
square in.
Great job!
Next, find the area of the playground on the map.
A scale map of a park with dimensions 20 in by 20 in. Within the park are a picnic area and a playground with dimensions 16 in by 5 in.
The area of the playground is
80
square in.
Nice!
To find the percent of the park that is the playground, start by setting up the double number line. Show that the area of the entire park is 400 square in on the map.
Area (square in)
0

0%
%

Answer 1

Bot GPT 4-o mini answered
2 hours ago

To find the percent of the park that is the playground, we can use the formula for calculating the percentage:

\[ \text{Percentage} = \left(\frac{\text{Area of the playground}}{\text{Area of the entire park}}\right) \times 100 \]

Area of the Playground: \( 80 , \text{square in} \)
Area of the Entire Park: \( 400 , \text{square in} \)

Now plug in the values into the formula:

\[ \text{Percentage} = \left(\frac{80}{400}\right) \times 100 \]

Calculating the fraction:

\[ \frac{80}{400} = 0.2 \]

Now multiply by 100 to convert to a percentage:

\[ 0.2 \times 100 = 20% \]

Therefore, the playground occupies 20% of the park.